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Finding the Third Proportional to 80,267 and 175,759

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Solution

The third proportional to 80,267 and 175,759 is: 384,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,267 : 175,759 = 175,759 : x
  2. Step 2: Convert to fraction form
    80,267/175,759 = 175,759/x
  3. Step 3: Cross multiply
    80,267x = 175,759 × 175,759
  4. Step 4: Simplify right side
    80,267x = 30,891,226,081
  5. Step 5: Solve for x
    x = 30,891,226,081/80,267
  6. Step 6: Final answer
    x = 384,855.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.